Hardness of approximation of centered convex bodies by polytopes

Han Huang, Mark Rudelson

The distance between convex bodies \(K, L \subseteq \R^n\) is defined as \[ d(K,L)= \inf \left\{ λ\ge 1: \ L-x \subseteq T (K-y) \subseteq λ(L-x) \right\}, \] where the infimum i…